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Category Archives: General Relativity
The escape velocity for the Schwarzschild metric (2).
In the other post The escape velocity for the Schwarzschild metric. we have found the escape velocity , however – this was based on the limit and . Let us return to the radial-equation for the Schwarzschild metric given by … Continue reading
Posted in Cosmology, General Relativity, Mathematics, Physics, Relativity, Universe
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Kerr metric and dragging.
The Kerr-metric is given by , where and . We solve the geodesic equation using It is clear that , then for we obtain the equation So there is a solution . Next we look to the equation for and … Continue reading
Posted in Cosmology, General Relativity, Mathematics, Physics, Relativity
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Solving the geodesic equation.
In this post, I will write about the geodesic equation. I suggest a simplified form that is simpler to solve. The geodesic equation is given by , where . We have used the convention that . Then we may write … Continue reading
Posted in General Relativity, Mathematics, Physics, Relativity
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The escape velocity for the Schwarzschild metric.
The Schwarzschild metric is given by where and . The geodetic equation is given by The path for escaping is given by and , so we only need And we obtain the equations So Now it is clear that . … Continue reading
Posted in General Relativity, Mathematics, Physics, Relativity
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Transformations in Space-Time
What are inertial systems of reference? Why are transformations between inertial systems of reference linear? A simple analysis of transformations between systems of reference. We have two systems of reference, denoted by and . Each system has his own co-ordinates; … Continue reading
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